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Finding the Fourth Proportional to 1,662.31, 2,493.96 and 785.48

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Solution

The fourth proportional to 1,662.31, 2,493.96 and 785.48 is: 1,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.31 : 2,493.96 = 785.48 : x
  2. Step 2: Convert to fraction form
    1,662.31/2,493.96 = 785.48/x
  3. Step 3: Cross multiply
    1,662.31x = 2,493.96 × 785.48
  4. Step 4: Simplify right side
    1,662.31x = 1,958,958.73
  5. Step 5: Solve for x
    x = 1,958,958.73/1,662.31
  6. Step 6: Final answer
    x = 1,178.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.